83365956 has 96 divisors (see below), whose sum is σ = 225509760. Its totient is φ = 26611200.

The previous prime is 83365951. The next prime is 83365957. The reversal of 83365956 is 65956338.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83365951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 296536 + ... + 296816.

It is an arithmetic number, because the mean of its divisors is an integer number (2349060).

Almost surely, 2^83365956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83365956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112754880).

83365956 is an abundant number, since it is smaller than the sum of its proper divisors (142143804).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83365956 is a wasteful number, since it uses less digits than its factorization.

83365956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 394 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The square root of 83365956 is about 9130.4959339567. The cubic root of 83365956 is about 436.8472219808.

The spelling of 83365956 in words is "eighty-three million, three hundred sixty-five thousand, nine hundred fifty-six".